1011201001992 has 192 divisors, whose sum is σ = 2951421408000. Its totient is φ = 311760202752.

The previous prime is 1011201001969. The next prime is 1011201002003. The reversal of 1011201001992 is 2991001021101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26277838 + ... + 26316290.

It is an arithmetic number, because the mean of its divisors is an integer number (15371986500).

Almost surely, 2^{1011201001992} is an apocalyptic number.

1011201001992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011201001992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475710704000).

1011201001992 is an abundant number, since it is smaller than the sum of its proper divisors (1940220406008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1011201001992 is a wasteful number, since it uses less digits than its factorization.

1011201001992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38940 (or 38933 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 27.

The spelling of 1011201001992 in words is "one trillion, eleven billion, two hundred one million, one thousand, nine hundred ninety-two".